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Finding the Fourth Proportional to 2,405.96, 3,607.08 and 1,108.36

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Solution

The fourth proportional to 2,405.96, 3,607.08 and 1,108.36 is: 1,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.96 : 3,607.08 = 1,108.36 : x
  2. Step 2: Convert to fraction form
    2,405.96/3,607.08 = 1,108.36/x
  3. Step 3: Cross multiply
    2,405.96x = 3,607.08 × 1,108.36
  4. Step 4: Simplify right side
    2,405.96x = 3,997,943.19
  5. Step 5: Solve for x
    x = 3,997,943.19/2,405.96
  6. Step 6: Final answer
    x = 1,661.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.